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Finding the Third Proportional to 160,868 and 211,542

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Solution

The third proportional to 160,868 and 211,542 is: 278,178.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,868 : 211,542 = 211,542 : x
  2. Step 2: Convert to fraction form
    160,868/211,542 = 211,542/x
  3. Step 3: Cross multiply
    160,868x = 211,542 × 211,542
  4. Step 4: Simplify right side
    160,868x = 44,750,017,764
  5. Step 5: Solve for x
    x = 44,750,017,764/160,868
  6. Step 6: Final answer
    x = 278,178.49

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.